Finding the Third Proportional to 46,199 and 99,299.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,199 : 99,299.50 = 99,299.50 : x
2. Step 2: Convert to fraction form
   46,199/99,299.50 = 99,299.50/x
3. Step 3: Cross multiply
   46,199x = 99,299.50 × 99,299.50
4. Step 4: Simplify right side
   46,199x = 9,860,390,700.25
5. Step 5: Solve for x
   x = 9,860,390,700.25/46,199
6. Step 6: Final answer
   x = 213,432.99